Answer
a) A: 40 lawns per day
B: 40 cars per day
C: 20 lawns and 20 cars per day
D: 25 lawns and 25 cars per day
b) Please see the graph.
c) The graph is bowed out near point D since point D is the most efficient point on the frontier. (Moe and Curly are working at their most productive, and Larry's time is equally split between his tasks.)
d) Only allocation C is inefficient. That allocation is inefficient since Curly and Moe are working at the tasks that take more time.
Work Step by Step
a) 10 hours per person
Larry--1 lawn/hr or 1 car/hr
Moe--1 lawn/hr or 2 cars/hr
Curly--2 lawns/hr or 1 car/hr
A)
mowing lawns
$1+1+2=4$ lawns per hour
$4*10 =40$ lawns per day
B)
washing cars
$1+2+1=4$ cars per hour
$4 * 10=40$ cars per day
C)
mowing lawns
$1*5+1*5+2*5=5+5+10=20$
washing cars
$1*5+2*5+1*5=5+10+5=20$
D)
mowing lawns
$1*5+0*10+2*10=5+0+20=25$
washing cars
$1*5+2*10+0*10=5+20+0=25$
